TFPT scientific source excerpt Original repository path: experiments/theory-contracts/historical-dynamics-source-recovery-20261103/three-hypotheses-source-F.json Original file SHA-256: ae582cbbdc21f4a579e8f355a775c82691afa55f582fba7bbb7a2d3308f3ba37 Inclusive original lines: 1-39 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000001 | { 000002 | "result_id": "TORSION20261104F", 000003 | "passed": 19, 000004 | "checks": { 000005 | "whole_original_zero_momentum_real_torsion_square": true, 000006 | "whole_original_zero_momentum_hermitian": true, 000007 | "actual_full_J_reality": true, 000008 | "whole_original_M_skew_-1": true, 000009 | "whole_original_P_equals_MdaggerM_-1": true, 000010 | "actual_J_fiber_unitarity_-1": true, 000011 | "actual_J_fiber_P_intertwining_-1": true, 000012 | "full_trace_is_twice_actual_Weyl_trace_-1": true, 000013 | "linear_original_M_has_no_bare_second_torsion_contact_-1": true, 000014 | "whole_original_M_skew_1": true, 000015 | "whole_original_P_equals_MdaggerM_1": true, 000016 | "actual_J_fiber_unitarity_1": true, 000017 | "actual_J_fiber_P_intertwining_1": true, 000018 | "full_trace_is_twice_actual_Weyl_trace_1": true, 000019 | "linear_original_M_has_no_bare_second_torsion_contact_1": true, 000020 | "actual_full_product_Pfaffian_log_heat_weight_one_eighth": true, 000021 | "ordinary_geometric_and_fermion_uv_S2_signs_differ": true, 000022 | "original_F_form_factor_moments": true, 000023 | "original_F_second_derivative_is_nonlocal_before_truncation": true 000024 | }, 000025 | "actual_matrix_scope": "Existing ordinary Spin4/full96 total Weyl product, full symbolic Yukawa and Majorana, constant real torsion and Phi for the matrix check. Eeps is not Padm.", 000026 | "analytic_extension": "For the actual J-real selfadjoint Gamma-odd operator with compatible paired domains, MdaggerM=D² restricted to Eeps and J intertwines the two fibers. Domain and selector transport remain required.", 000027 | "fermion_absolute_effective_action": "-log|Pf M|=-(1/4)Tr_Eeps log(MdaggerM)=-(1/8)Tr_full log(D²), when the paired-domain and full-product hypotheses hold; phase retained separately.", 000028 | "ordinary_positive_proper_time_uv_diagnostic": { 000029 | "fermion_coefficient": "9*d/(256*pi**2*eps)", 000030 | "geometric_coefficient": "-27*chi**2*d/(16*pi**2)", 000031 | "not_a_selection_of_a_physical_regulator": true, 000032 | "not_a_no_go_for_all_original_regulated_sources": true 000033 | }, 000034 | "original_nonlocal_weight_contact": "An actual full spectral-profile second variation need not be supported at coincident points. F_xy cannot in general be removed as a local contact in the full-source spectral response.", 000035 | "fundamental_solution_achieved": false, 000036 | "full_Sadm_derived": false, 000037 | "physical_Htrpos_derived": false, 000038 | "common_physical_spectrum_computed": false 000039 | }